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Re:The Time Everyone “Corrected” the World’s Smartest Woman ... by CRConrad on Monday May 17, 2021 @05:51PM (#27188873)
> > That he always opens a door that is not the contestant's choice is a necessary implication of saying that he opens "another" door

> It really isn't. It's possible Monte Hall always opens the doors in...

It really is. The "other" in "another" means, quite literally, "not the one already mentioned". And since the only door mentioned before that was the one the contestant had chosen, "he then opens another" not only implies but quite literally and explicitly says that this "another" door the host opens absolutely isn't, cannot be, the one the contestant chose. That's quite simply what "another" literally means.

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